I live in Lynchburg and tried to do some searching for you.
I noticed in the censuses for Patrick Mathews there was always a Don Peters who lived with him or next door.
Jones Memorial Library has obituaries from early 1800's to 1930 indexed. I did not find one for Patrick Mathews or Matthews but I did find Don Peters' was listed 7 times.
If you order obit on Mr. Peters maybe his obit will mention Mr. Mathews as an associate or something. His was also a merchant. You can go to www.jmlibrary.com
and go down on the left of the page and click on "obituaries" and the search block will come up. The site tells you how you can order obituaries. I'm not sure if you saw it, but I also saw where Patrick Mathews came to American 13 Oct 1842 on the ship "Sheffield" and arrived in NY from Liverpool, England. He was age 59 and his occupation was listed as a merchant.
I hope some of this helps you.